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70 people were surveyed and was found that each of the person liked at least one of the following 3 car brands: Audi, BMW and

70 people were surveyed and was found that each of the person liked at least one of the following 3 car brands: Audi, BMW and Mercedes.

36 liked Audi.30 liked BMW.

32 liked Mercedes.

10 liked Audi and BMW.

17 liked BMW and Mercedes.

21 liked Audi and Mercedes.

19 liked exactly two of the following car brands: Audi, BMW, and Mercedes.

Create a fully labelled Venn diagram of this data, and find:

How many people liked Audi, but not BMW or Mercedes?

How many people liked Mercedes, but not BMW or Audi?

How many people liked all of the following three cars: Audi, BMW, and Mercedes?

How many people liked Audi and Mercedes, but not BMW?

Justify your answer using Venn Diagram.

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